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首页> 外文期刊>International journal of structural stability and dynamics >Axial-Delayed Control of Nonlinear Resonance of Nanobeams with Graphene Sensor
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Axial-Delayed Control of Nonlinear Resonance of Nanobeams with Graphene Sensor

机译：石墨烯传感器纳米束非线性共振控制轴向延迟控制

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摘要

Nonlinear resonance response of an electrostatic-actuated nanobeam is controlled by using a delayed axial electrostatic force with near-half the natural frequency. A graphene sensor pasted on the surface of the nanobeam is used to extract the vibration voltage signal. An axial-delayed capacitive controller is designed to produce delayed axial force to control the nonlinear vibration of the nanobeam. The vibration voltage signal from the graphene sensor is input to the axial-delayed capacitive controller to attenuate the nonlinear vibration of the nanobeam. The dynamic response of the resonator is investigated by using the method of multiple scales directly. The sufficient conditions of guaranteeing the system stability and the saddle-node bifurcation are studied. The attenuation ratio is defined as the ratio of the peak amplitude of the nonlinear vibration system with control to that without control. A critical feedback gain is given, which can shift the frequency-amplitude curves from the nonlinear vibration to a linear vibration. An optimal method in which the attenuation ratio is taken as objective function and the aforementioned sufficient conditions as the constraint conditions is given to calculate the optimal feedback gains. Numerical simulations are conducted for uniform nanobeams.
机译：通过使用具有近半自然频率的延迟轴向静电力来控制静电致动的纳米辐射的非线性谐振响应。粘贴在纳米区域表面上的石墨烯传感器用于提取振动电压信号。轴向延迟的电容控制器设计成产生延迟的轴向力以控制纳米辐射的非线性振动。来自石墨烯传感器的振动电压信号被输入到轴向延迟的电容控制器，以衰减纳米辐射的非线性振动。通过直接使用多个尺度的方法来研究谐振器的动态响应。研究了保证系统稳定性和鞍座节点分叉的充分条件。衰减率被定义为非线性振动系统的峰值幅度与控制而没有控制的比率。给出了临界反馈增益，这可以将频率幅度曲线从非线性振动转移到线性振动。作为目标函数的衰减比作为目标函数的最佳方法，并且给出了作为约束条件的上述足够的条件来计算最佳反馈增益。对均匀纳米芯片进行数值模拟。

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